Elementary probability: an application in the study of ranking position depending on the results of elimination matches in a sporting event
DOI:
https://doi.org/10.35819/remat2023v9i2id6574Keywords:
Probability, Counting, Ranking, Sports PredictionsAbstract
This paper proposes to present a probabilistic study on the possible position to be occupied by a tennis player in a ranking based on the results of the elimination rounds of an important tournament. A situation is considered in which the expected results for tennis matches are equiprobable events and, another, in which the previous performance of the tennis players is observed in the evaluation of their chances of success. The study follows the tournament in different stages and presents updates as the results of the matches are known. Both treatments allow predictions that are adequate in the studied example. It is thus possible to establish, with some certainly, the ranking of the tennis player at the end of the tournament even using a methodology that is not very informative from a probabilistic point of view. Finally, the study requires an understanding of elementary counting and probability tools, which makes it accessible to the knowledge treated in Brazilian secondary school.
Downloads
References
BRASIL. Ministério da Educação. Base Nacional Comum Curricular: Ensino Médio. Brasília, DF: MEC, 2018. Disponível em: http://basenacionalcomum.mec.gov.br/images/historico/BNCC_EnsinoMedio_embaixa_site_110518.pdf. Acesso em: 6 fev. 2023.
CORRÊA, A. N. Probabilidade no futebol: um incentivo ao estudo da teoria estatística. Orientador: João Carlos Ferreira Costa. 2019. 68 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) – Instituto de Biociências, Letras e Ciências Exatas, Universidade Estadual Paulista Júlio de Mesquita Filho, São José do Rio Preto, SP, 2019.
DIAS, T. J. F.; CARNEIRO, R. dos S.; SILVA, K. F. da; CARNEIRO, R. dos S. Tendências matemáticas em educação matemática: uma revisão da literatura. Research, Society and Development, v. 11, n. 6, 2022. DOI: https://doi.org/10.33448/rsd-v11i6.29362.
LIMA, B. N. B. de; COSTA, G. N.; NACIFE, R.; MARTINS, R. V.; GUIMARÃES, R. Probabilidades no Esporte. TRIM: Tordesillas Revista de Investigación Multidisciplinar, v. 5, p. 39-53, 2012. Disponível em: https://www5.uva.es/trim/TRIM/TRIM5_files/PROBABILIDADES.pdf. Acesso em: 6 fev. 2023.
MEYER, Paul. Probabilidade: aplicações à estatística. 2. ed. São Paulo: LTC, 1987.
MORGADO, A. C.; CARVALHO, J. B. P. de; CARVALHO, P. C. P.; FERNANDEZ, P. Análise Combinatória e Probabilidade: com as soluções dos exercícios. Coleção do Professor de Matemática. 11. ed. Rio de Janeiro: SBM, 2020.
RAMOS, L. F. P.; LEMOS, H. C. F.; BATISTA, B. D. de O. Modelagem matemática para previsão de jogos de futebol. Revista Sergipana de Matemática e Educação Matemática, v. 6, n. 1, p. 46-64, 2021. DOI: https://doi.org/10.34179/revisem.v6i1.13637.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 REMAT: Revista Eletrônica da Matemática
This work is licensed under a Creative Commons Attribution 4.0 International License.
REMAT retains the copyright of published articles, having the right to first publication of the work, mention of first publication in the journal in other published media and distribution of parts or of the work as a whole in order to promote the magazine.
This is an open access journal, which means that all content is available free of charge, at no cost to the user or his institution. Users are permitted to read, download, copy, distribute, print, search or link the full texts of the articles, or use them for any other legal purpose, without requesting prior permission from the magazine or the author. This statement is in accordance with the BOAI definition of open access.
